# Graphing 22 - Writing Equation from two points 2

Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, the method of finding the equation of a line passing through two points is discussed. After using the formula for slope to determine the slope, the slope point formula is used to write the equation of the line. The equation is then simplified into slope-intercept form by solving for y. To verify the accuracy of the equation, it is checked if both the points given lie on the line. Finally, the method of using y = mx + b is also demonstrated to be another way of obtaining the correct equation.

Lesson Description:

Part 2 of how to write the equation of a line if you know 2 points on the line. This is part 22 of a series of videos about graphing lines.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• How do you write the equation of a line if you know two points on the line?
• How do you find the equation of a line that passes through two points by graphing?
• How do you find the slope and y-intercept of a line from two points on the line?
• How do you find the equation of a line that passes through two points by using the slope formula and point-slope form?
• How do you find the slope between the points (-10, 13) and (-18, -7) using the slope formula?
• How do you write the equation of a line in slope-intercept form that passes through (-10, 13) and (-18, -7) by using the slope formula and point-slope form?
• Does it matter which ordered pair you plug into the formula to find the equation of the line that passes through two points?
• How can you re-write an equation that is in slope-intercept form in standard form?
• How can you check to make sure that the equation of a line you find is correct?
• How can you check that (-10, 13) and (-18, -7) are both on the line y = 5/2x + 38?
• How do you write the equation of a line in slope-intercept form that passes through (-10, 13) and (-18, -7) by using the slope-intercept form and solving for b?
• #### Staff Review

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This lesson is very similar to part 21 of this series. One more example problem is done in this video, and all steps are shown for finding the equation of a line that passes through two points. A few methods of finding the equation that passes between these points are shown.